312246642213 has 48 divisors (see below), whose sum is σ = 507469577472. Its totient is φ = 183379920000.

The previous prime is 312246642209. The next prime is 312246642229.

312246642213 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 4 + 6 + 642 + 2 + 1 + 3 = 666.

312246642213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312246642213 - 2² = 312246642209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312246642913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137743 + ... + 802163.

It is an arithmetic number, because the mean of its divisors is an integer number (10572282864).

Almost surely, 2^312246642213 is an apocalyptic number.

312246642213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312246642213 is a deficient number, since it is larger than the sum of its proper divisors (195222935259).

312246642213 is a wasteful number, since it uses less digits than its factorization.

312246642213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664586 (or 664583 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 312246 and 642213, that added together give a palindrome (954459).

The spelling of 312246642213 in words is "three hundred twelve billion, two hundred forty-six million, six hundred forty-two thousand, two hundred thirteen".